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Finding the Third Proportional to 3,259,376 and 7,669,848

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Solution

The third proportional to 3,259,376 and 7,669,848 is: 18,048,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259,376 : 7,669,848 = 7,669,848 : x
  2. Step 2: Convert to fraction form
    3,259,376/7,669,848 = 7,669,848/x
  3. Step 3: Cross multiply
    3,259,376x = 7,669,848 × 7,669,848
  4. Step 4: Simplify right side
    3,259,376x = 58,826,568,343,104
  5. Step 5: Solve for x
    x = 58,826,568,343,104/3,259,376
  6. Step 6: Final answer
    x = 18,048,414.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.